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Finding the Fourth Proportional to 61,569.60, 92,332.80 and 31,977.60

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Solution

The fourth proportional to 61,569.60, 92,332.80 and 31,977.60 is: 47,955.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,569.60 : 92,332.80 = 31,977.60 : x
  2. Step 2: Convert to fraction form
    61,569.60/92,332.80 = 31,977.60/x
  3. Step 3: Cross multiply
    61,569.60x = 92,332.80 × 31,977.60
  4. Step 4: Simplify right side
    61,569.60x = 2,952,581,345.28
  5. Step 5: Solve for x
    x = 2,952,581,345.28/61,569.60
  6. Step 6: Final answer
    x = 47,955.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.